Characterizations of the Commutators Involving Idempotents in Certain Subrings of $m_{2}(\mathbb{z})$
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Abstract
In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [E1, E2] = E1E2 - E2E1 involving idempotents E1, E2 in certain subrings of M2(Z).
Description
OZDIN, Tufan/0000-0001-8081-1871
Keywords
Clean (Nil-clean) element, commutator, idempotent, unit element, Nilpotent, unit-regular element, Matematik, Units, groups of units (associative rings and algebras), unit-regular element, clean (nil-clean) element, nilpotent, commutator, idempotent, unit element, Endomorphism rings; matrix rings, Quadratic and bilinear Diophantine equations
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47
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5
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1498
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1507
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